WASHINGTON -LRB- CNN -RRB- -- Democratic presidential front-runner Hillary Clinton said Sunday she wo n't vote for any more money to support the four-year-old war in Iraq without a plan to start bringing U.S. troops home .

Presidential hopeful Sen. Hillary Clinton greets people before speaking in Washington on September 17 .

`` I 've reached the conclusion that the best way to support our troops is begin bringing them home , '' the New York senator and former first lady told CNN 's `` Late Edition with Wolf Blitzer . ''

`` I do n't believe we should continue to vote for funding that has an open-ended commitment , that has no pressure on the Iraqi government to make the tough political decisions they have to make , or which really gives any urgency to the Bush administration 's diplomatic efforts . ''

Clinton 's declaration comes as the Senate debates the Defense Department 's 2008 spending authorization bill . It follows her vote against a $ 120 billion war-spending bill in May , when Congress dropped a call for the withdrawal of American combat troops by March 2008 after President Bush vetoed a bill containing that provision .

`` The president has no intention of changing his policy in Iraq , '' she said . `` He 's now talking about leaving it to his successor . ''

Meanwhile , the Senate 's Republican minority routinely filibusters Democratic proposals to wind down the war , which is costing the Treasury about $ 10 billion a month and has claimed the lives of nearly 3,800 American troops .

May 's spending bill made continued U.S. support contingent on a set of benchmarks for Iraq 's government .

But the Iraqis met only 11 of the 18 benchmarks , according to the Government Accountability Office , the investigative arm of Congress .

`` Even those who are implementing this policy of the president 's can not tell us it will make America more safe , nor that it will lead to the kind of political decision-making that we have to expect from the Iraqis themselves , '' Clinton said .

Nearly two-thirds of the American public now opposes the war , according to a CNN-Opinion Research poll conducted in early September .

Clinton said , if elected president , she would end the conflict `` as quickly and responsibly as I can , '' but said some U.S. forces would likely remain as trainers , to protect Americans and to battle Islamic militants loyal to al Qaeda .

The two-term senator , who leads her Democratic presidential rivals by a double-digit margin in national polls , made the rounds of all five Washington talk shows Sunday .

Last week , Clinton supported two amendments that would have forced the Pentagon to begin a U.S. withdrawal from Iraq .

But she said Sunday that even if Democrats muster enough Republican support to break a filibuster -- something they have been unable to do -- Democrats would still be unlikely to get the two-thirds vote needed to override a presidential veto .

`` The answer for this is , let 's elect more Democrats in 2008 , '' she said . `` That will help solve the problem . '' E-mail to a friend

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Clinton on CNN : Best way to support troops is to begin bringing them home

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Polls suggest Clinton is the leading presidential candidate among Democrats

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She says administration policy does n't put enough pressure on Iraqi leaders

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If elected , Clinton says , she would end the war as `` responsibly '' as she can